Average Error: 0.2 → 0.2
Time: 15.7s
Precision: 64
\[\left(x \cdot 3\right) \cdot x\]
↓
\[\left(x \cdot 3\right) \cdot x\]
\left(x \cdot 3\right) \cdot x
↓
\left(x \cdot 3\right) \cdot x
double f(double x) {
        double r156597 = x;
        double r156598 = 3.0;
        double r156599 = r156597 * r156598;
        double r156600 = r156599 * r156597;
        return r156600;
}
↓
double f(double x) {
        double r156601 = x;
        double r156602 = 3.0;
        double r156603 = r156601 * r156602;
        double r156604 = r156603 * r156601;
        return r156604;
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.2

    \[\left(x \cdot 3\right) \cdot x\]

  2. Final simplification0.2

    \[\leadsto \left(x \cdot 3\right) \cdot x\]

Reproduce

herbie shell --seed 2019326 
(FPCore (x)
  :name "Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, F"
  :precision binary64
  (* (* x 3) x))